Details

Time bar (total: 11.1s)

sample260.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5318
6328
done328

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
60×times-frac
58×add-sqr-sqrt
32×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
13×distribute-lft-out-- difference-of-squares
12×distribute-lft-out associate-/l*
6×neg-mul-1
5×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
20.0ms
(/ (- (+ f n)) (- f n))

series81.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- (+ f n)) (- f n))

simplify1.2s

Counts
100 → 100
Iterations

Useful iterations: 3 (302.0ms)

IterNodesCost
01351469
12981395
28871365
328941357
done50011357

prune155.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))
0.0b
(cbrt (/ (- (+ f n)) (- f n)))
0.0b
(cbrt (/ (- (+ f n)) (- f n)))
0.0b
(cbrt (/ (- (+ f n)) (- f n)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
301×*-un-lft-identity
240×times-frac
217×add-sqr-sqrt
198×cbrt-prod
119×add-cube-cbrt
84×distribute-lft-neg-in distribute-rgt-neg-in
49×distribute-lft-out-- difference-of-squares
42×distribute-lft-out
21×neg-mul-1
12×associate-/l*
8×associate-/r/
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3
2×associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
Counts
4 → 328
Calls
4 calls:
18.0ms
(/ (- (+ f n)) (- f n))
13.0ms
(cbrt (/ (- (+ f n)) (- f n)))
10.0ms
(cbrt (/ (- (+ f n)) (- f n)))
10.0ms
(cbrt (/ (- (+ f n)) (- f n)))

series742.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (- (+ f n)) (- f n))
224.0ms
(cbrt (/ (- (+ f n)) (- f n)))
226.0ms
(cbrt (/ (- (+ f n)) (- f n)))
226.0ms
(cbrt (/ (- (+ f n)) (- f n)))

simplify1.2s

Counts
340 → 340
Iterations

Useful iterations: 3 (350.0ms)

IterNodesCost
02205870
13955586
210105496
329995458
done50005458

prune733.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- (+ f n)) (- f n)))
0.0b
(cbrt (/ (- (+ f n)) (- f n)))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- (+ f n)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
149×cbrt-prod
120×times-frac
114×add-sqr-sqrt
64×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
11×neg-mul-1
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip--
2×div-inv distribute-neg-frac
1×flip3-+ flip-+
Counts
4 → 195
Calls
4 calls:
14.0ms
(cbrt (/ (- (+ f n)) (- f n)))
10.0ms
(cbrt (/ (- (+ f n)) (- f n)))
2.0ms
(cbrt (- f n))
4.0ms
(cbrt (- (+ f n)))

series745.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt (/ (- (+ f n)) (- f n)))
233.0ms
(cbrt (/ (- (+ f n)) (- f n)))
148.0ms
(cbrt (- f n))
136.0ms
(cbrt (- (+ f n)))

simplify1.6s

Counts
207 → 207
Iterations

Useful iterations: 3 (453.0ms)

IterNodesCost
02773410
14833251
212013192
343123153
done50003153

prune541.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- f n)) (cbrt (- f n)))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
20.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))

series553.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
139.0ms
(cbrt (- f n))
144.0ms
(cbrt (- f n))
143.0ms
(cbrt (- f n))

simplify2.3s

Counts
121 → 121
Iterations

Useful iterations: 3 (504.0ms)

IterNodesCost
01351434
12741332
29341262
338141158
done50001158

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1128
2138
done138

end0.0ms

sample293.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid